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An interval entropy method for equality constrained multiobjective optimization problems |
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| Authors: | Hai-jun Wang De-xin Cao Su-bei Li |
| Institution: | 1. Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, P.R. China 2. College of Sciences, China University of Mining and Technology, Xuzhou, 221008, P.R. China 3. College of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou, 221008, P.R. China |
| Abstract: | Based on the maximum entropy principle and the idea of a penalty function, an evaluation function is derived to solve multiobjective optimization problems with equality constraints. Combining with interval analysis method, we define a generalized Krawczyk operator, design interval iteration with constrained functions and new region deletion test rules, present an interval algorithm for equality constrained multiobjective optimization problems, and also prove relevant properties. A theoretical analysis and numerical results indicate that the algorithm constructed is effective and reliable. |
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